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Finding the Fourth Proportional to 33,002, 45,543.84 and 18,098

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Solution

The fourth proportional to 33,002, 45,543.84 and 18,098 is: 24,975.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,002 : 45,543.84 = 18,098 : x
  2. Step 2: Convert to fraction form
    33,002/45,543.84 = 18,098/x
  3. Step 3: Cross multiply
    33,002x = 45,543.84 × 18,098
  4. Step 4: Simplify right side
    33,002x = 824,252,416.32
  5. Step 5: Solve for x
    x = 824,252,416.32/33,002
  6. Step 6: Final answer
    x = 24,975.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.